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Finding the Fourth Proportional to 81,456.63, 112,408.31 and 47,463

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Solution

The fourth proportional to 81,456.63, 112,408.31 and 47,463 is: 65,497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,456.63 : 112,408.31 = 47,463 : x
  2. Step 2: Convert to fraction form
    81,456.63/112,408.31 = 47,463/x
  3. Step 3: Cross multiply
    81,456.63x = 112,408.31 × 47,463
  4. Step 4: Simplify right side
    81,456.63x = 5,335,235,380.22
  5. Step 5: Solve for x
    x = 5,335,235,380.22/81,456.63
  6. Step 6: Final answer
    x = 65,497.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.